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Finding the Fourth Proportional to 830,512.70, 1,163,505.10 and 830,512.70

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Solution

The fourth proportional to 830,512.70, 1,163,505.10 and 830,512.70 is: 1,163,505.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,512.70 : 1,163,505.10 = 830,512.70 : x
  2. Step 2: Convert to fraction form
    830,512.70/1,163,505.10 = 830,512.70/x
  3. Step 3: Cross multiply
    830,512.70x = 1,163,505.10 × 830,512.70
  4. Step 4: Simplify right side
    830,512.70x = 966,305,762,064.77
  5. Step 5: Solve for x
    x = 966,305,762,064.77/830,512.70
  6. Step 6: Final answer
    x = 1,163,505.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.